A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]
B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)
<h3>A. How to determine the mid point</h3>
- Coordinate of C = (4, 5)
- Coordinate of D = (p, q)
- Mid point =?
Mid point = (X , Y)
X = (x₁ + x₂) / 2
X = (4 + p) / 2
Y = (y₁ + y₂) / 2
Y = (5 + q) / 2
Thus,
Mid point = (X , Y)
Mid point = [(4 + p) / 2 , (5 + q) / 2]
<h3>B. How to determine the coordinates of D</h3>
- Mid point = (7, 1)
- Coordinates of D =?
Mid point = (7, 1) = (X , Y)
X = (4 + p) / 2
7 = (4 + p) / 2
Cross multiply
7 × 2 = 4 + p
14 = 4 + p
Collect like terms
p = 14 - 4
p = 10
Y = (5 + q) / 2
1 = (5 + q) / 2
Cross multiply
1 × 2 = 5 + q
2 = 5 + q
Collect like terms
q = 2 - 5
q = -3
Coordinates of D = (p, q)
Coordinates of D = (10 , -3)
Learn more about coordinate geometry:
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460/100 = 4.60 x 35 = 161 + 460 = $621
Answer:
D 17 1/4
Step-by-step explanation:
Answer:
30 days
Step-by-step explanation:
Not really a math problem but its 30 days.
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the volume of a cone, which is given in the figure attached:
V=πr²h/3
Where r is the radius (r=2 cm) and h is the height (h=3 cm)
2. Therefore, when you substitute these values into the formula for calculate the volume a cone, you obtain the following result:
V=πr²h/3
V=π(2 cm)²(3 cm)/3
V=4π cm³
Therefore, the answer is: The volume of the solide chocolate required is 4π cm³.